How to correctly rewrite a query in NGINX?

Question

Nginx

Example
All requests go through proxy_pass (location /)

there is a request
https://domain.com/styles/x/d/f.png

It is necessary that the request
https://domain.com/x/d/f.png work as and https://domain.com/styles/x/d/f.png

Answer 1

location ~* $.png {
proxy_pass https://backend/styles/$1
...
}

Answer 2

rewrite ^/x/d/f\.png$ /styles/x/d/f.png;
rewrite ^/(\d+/\d+/\d+\.png)$ /styles/$1;